#621 - what does this rebus mean
Identify the meaning hidden in the rebus below ?
No one understands
#622 - Hard Logic Problem
There is a town named Springville. In that town you can find extremely hilarious facts. None of the resident has 456,789 hairs. The number of residents are more than the number of hair in any one of the.
Can you find out the largest number of residents in such a scenario?
The answer is 456,789.
Let us begin with two residents. The number of hairs on their head can be zero and one. If we extrapolate the fact, we will come to know that the number of hairs with 'n' number of residents will always range from zero to (n-1).
If we go above 456,789 to 456,790 with none of the residents having 456,789 hairs, the number of hairs on them will be different and one of them must have more than 456,789 which will clearly violate the fact that the number of residents are more than hairs on an individual.
#623 - Solve Mathematical Problem
There are two insects on a tile. Insect X is sitting on one side of the tile (point A) and Insect Y is sitting opposite on the other side of the tile (point B). Now both of them decide to change their position and thus X starts crawling to point B and Y starts crawling to point A. When they meet and pass each other in between, X takes 20 seconds to reach to B and Y takes just 5 seconds to reach A.
Can you calculate the total time each of the insects took to change their positions?
Assume that P is the speed of Insect X and Q is the speed of Insect Y.
Let T be the number of seconds it takes them to cross paths.
Now Distance = Speed * Time
Thus for Insect X
Distance = P * T before meeting
And Distance = P *20 after meeting
For Insect Y
Distance = Q * T before meeting
And Distance = Q * 5 after meeting
Now the distance travelled by X before meeting is equal to the distance travelled by Y after meeting and vice versa
Thus
P * T = Q * 5
And Q * T = P * 20
Solving both equations, we get T = 10
Thus Insect X requires 10 + 20 = 30 seconds,
Whereas Insect Y requires 10 + 5 = 15 seconds to change the position.
#625 - Hard Mathematics Expression Puzzle
You are given with six numbers – 1, 2, 3, 4, 5 and 6. You can arrange them in any order and you can use all the four mathematics expression i.e. add, subtract, multiply and divide and also parenthesis. The result must be 278.
There are three other rules
1) You can only use a number once.
2) It is not compulsory to use all the six numbers.
3) You can't join numbers i.e. you can't use 1, 2 and 3 as 123.
(1 + (3 + 4*5)*6)*2
There can be more than one possibilities.
#626 - ZS Associates Interview Induction Logic
There is an ancient kingdom where every married women keeps information regarding the fidelity of other men. However what they don't know is the fidelity of their own husbands. Also there is an ancient belief due to which they don't tell each other about the fidelity of their husbands.
On a certain day, the queen of the kingdom declares that she has identified at least one unfaithful man in the kingdom. She allows the wives to identify and gives them authority to kill their husband if they are unfaithful at midnight.
How will the wives manage it?
Let us begin with the assumption that only one man is unfaithful. In that case everyone except wife of his will know about him. But his wife will know that all other men are unfaithful and on the statement of queen that there is at least one unfaithful man in the kingdom, she will shoot his husband at midnight.
Now assume that there are two unfaithful men in the kingdom. Then their wives will know about one unfaithful man. So they will wait for the midnight. But when nobody will be shot at midnight, they will come to know that there must be more than one unfaithful husband and they will come to know that their husband is also unfaithful. Thus both of them will shoot their husbands at midnight.
Assume that there are three unfaithful husbands. Their wives will know about the two unfaithful men and they will wait for two midnights but when nobody will be shot, they will come to know that there are more than two unfaithful men and they will understand that their own husband is unfaithful. Thus they will shoot their husbands at the third midnight.
Thus for any general case where there are n unfaithful husbands, each of their wives will believe there are n-1 unfaithful husband and will be expecting a shot on the midnight of n-1 day. When they don't hear any gunshot, they will realize that their own husband was the nth.
#627 - Mentor Graphics Logic Interview Puzzle
There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equals wastage. You have two sacks one labelled Heads and other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sack.
How will you distribute the gems between the sacks so that the odds of picking a Blue gem is maximum ?
All you have to do is put a blue gem in any one of the sack and the other blue gems in the other sack. Doing this will provide you a shade under 3/4 probability of picking up a blue gem.
#628 - Sherlock Holmes The Sign of Three Logic
A man is found murdered in his bathroom naked with blood scattered all around him. The bathroom was locked from inside and there is no trace of any struggle. There is nothing in the bathroom except his pant with the belt still around and his shirt. Also, the medic team can't find any incision in his body that may have been the reason behind so much of blood loss.
The Police department is clueless regarding this murder mystery. But Sherlock solve the case.
Can you ?
Spoiler Alert Inspired by Sherlock Holmes Season 3 Episode 2 (The Sign of Three)
The killer did not need to be present at the crime scene. He used sort of an artistic technique to kill the victim. The incision was made by the very fine and this incision blade which is barely visible to naked eyes. It was stuck in victim's belt at any random point of time and he did not feel much due to the extremely fine surface of the blade. When the man undressed, he had to remove his pants due to which the incision blade was removed from his body cutting finely in its way out.
In this manner, the victim dies with the extreme blood loss and there was no evidence left.
#629 - Hard Who Am I Riddle
I am a normal creature, but I have five hands. I can even have more but even then I will be considered normal.
Who am I?
I am a person wearing an analogue watch. Thus I have two hands of my own and my watch has three more hands i.e. hour, minute and second hand. I can wear a watch that have a millisecond hand as well.
#630 - Hard Math Question
A generous owner of a company decided to give a bonus of $45 to every man and $60 to every woman on his birthday. But only one ninth of the men and one twelfth of woman were present to take the bonus.
Can you calculate the amount of money the owner spent if there were 3552 employees ?
17,760
Let us assume that there are x male employees.
No. of female employees will be (3553 – x)
One ninth of men = x/9 who received $45
And one twelfth of the women = (3553 – x) /12 who received $60
Thus total received = (45 * (x / 9)) + (60 * (3552 - x) / 12)
= 5 * 3552
= $17,760